On Sampling Lattices with Similarity Scaling Relationships

We provide a method for constructing regular sampling lattices in arbitrary dimensions together with an integer dilation matrix. Subsampling using this dilation matrix leads to a similarity-transformed version of the lattice with a chosen density reduction. These lattices are interesting candidates for multidimensional wavelet constructions with a limited number of subbands.

Published in:

Proceedings of the Eighth International Workshop on Sampling Theory and Applications (SampTA'09), Marseille, French Republic